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人気のある微分積分 >

integral from-3 to 3 of (x^2-5x+1)

解

\int_{- 3}^{3} (x^{2} - 5 x + 1) d x

解

24

解答ステップ

\int_{- 3}^{3} x^{2} - 5 x + 1 d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 3}^{3} x^{2} d x - \int_{- 3}^{3} 5 x d x + \int_{- 3}^{3} 1 d x

\int_{- 3}^{3} x^{2} d x = 18

\int_{- 3}^{3} 5 x d x = 0

\int_{- 3}^{3} 1 d x = 6

= 18 - 0 + 6

簡素化

= 24

グラフ

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